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arxiv: 1803.11069 · v1 · pith:Q3FB52HMnew · submitted 2018-03-28 · 🧮 math.AP · cond-mat.soft· math.PR

Random attractor for the 2D stochastic nematic liquid crystals flows with multiplicative noise

classification 🧮 math.AP cond-mat.softmath.PR
keywords boundarycrystalsliquidnematicnoisestochasticbehaviorcondition
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Under non-periodic boundary conditions, we consider the long-time behavior for stochastic 2D nematic liquid crystals flows with velocity and orientations perturbed by additive noise and multiplicative noise respectively. It is the first result for the long-time behavior of stochastic nematic liquid crystals under Dirichlet boundary condition for velocity field and Neumann boundary condition for orientation field.

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  1. Global well-posedness of stochastic nematic liquid crystals with random initial and random boundary conditions driven by multiplicative noise

    math.PR 2019-06 unverdicted novelty 4.0

    Establishes global well-posedness for 2D stochastic nematic liquid crystal equations with multiplicative white noise and random initial/boundary conditions under Malliavin regularity assumptions.